80435264 has 84 divisors (see below), whose sum is σ = 200057004. Its totient is φ = 31804416.

The previous prime is 80435237. The next prime is 80435273. The reversal of 80435264 is 46253408.

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 65934400 = 3808^2 + 8120^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 80435264.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39782 + ... + 41754.

It is an arithmetic number, because the mean of its divisors is an integer number (2381631).

Almost surely, 2^80435264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100028502).

80435264 is an abundant number, since it is smaller than the sum of its proper divisors (119621740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80435264 is a wasteful number, since it uses less digits than its factorization.

80435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 80435264 is about 8968.5709006508. The cubic root of 80435264 is about 431.6669815759. Note that the first 3 decimals are identical.

The spelling of 80435264 in words is "eighty million, four hundred thirty-five thousand, two hundred sixty-four".